Calculate the wavelength of a 1500 Hz sound wave in air at 30°C.

The speed of sound in air ($v$) at a given temperature $T$ (in Celsius) can be calculated using the formula $v = v_0 + 0.6T$, where $v_0$ is the speed of sound at $0^\circ\text{C}$ (approximately $331 \text{ m/s}$).

v = 331 \text{ m/s} + (0.6 \text{ m/s/^\circ C}) \times (30^\circ\text{C}) $$v = 331 \text{ m/s} + 18 \text{ m/s}$$ $$v = 349 \text{ m/s}$$

The relationship between the speed of sound ($v$), frequency ($f$), and wavelength ($\lambda$) is given by $v = f\lambda$. We are given the frequency $f = 1500 \text{ Hz}$.

$$\lambda = \frac{v}{f}$$ $$\lambda = \frac{349 \text{ m/s}}{1500 \text{ Hz}}$$ $$\lambda \approx 0.23266 \text{ m}$$

Rounding to three significant figures:

$$\lambda \approx 0.233 \text{ m}$$

The wavelength of the produced sound is $\text{0.233 m}$.